Statistical Factor Analysis and Related Methods: Theory and Applications - Hardcover

Basilevsky, Alexander T.

Hardcover

ISBN 10: 0471570826 ISBN 13: 9780471570820

Publisher: Wiley-Interscience, 1994

Synopsis

Statistical Factor Analysis and Related Methods Theory andApplications In bridging the gap between the mathematical andstatistical theory of factor analysis, this new work represents thefirst unified treatment of the theory and practice of factoranalysis and latent variable models. It focuses on such areasas:
* The classical principal components model and sample-populationinference
* Several extensions and modifications of principal components,including Q and three-mode analysis and principal components in thecomplex domain
* Maximum likelihood and weighted factor models, factoridentification, factor rotation, and the estimation of factorscores
* The use of factor models in conjunction with various types ofdata including time series, spatial data, rank orders, and nominalvariable
* Applications of factor models to the estimation of functionalforms and to least squares of regression estimators

About this title

From the Publisher

A unified treatment of the theory and practice of factor analysis and latent variables models. Offers a review of some of the less accessible material on multivariate sampling, measurement and information theory, latent roots and vectors in both real and complex domains. Describes the classical principal components model and sample-population inference. Covers the use of factor models in conjunction with various types of data such as time series, rank orders, nominal variables and directional data. Includes a significant amount of illustrations and exercises.

From the Inside Flap

Despite their evident popularity among research workers in virtually every scientific endeavor, factor analysis and the wider class of procedures known as latent variable models continue to be regarded with skepticism by many mathematical statisticians who point out what they perceive as the arbitrariness and subjectivity of their methods. Statistical Factor Analysis and Related Methods redresses this imbalance by highlighting the value of these multivariate methods for today’s statisticians. Reflecting the importance of factor analysis as a useful data analytic tool and as an invaluable aid to other statistical models, this volume includes cluster and discriminant analysis, least square regression, time/frequency domain stochastic processes, discrete random variables, and graphical data displays. In bridging the gap between the mathematical and statistical theory of factor analysis, this new work represents the first unified treatment of the theory and practice of factor analysis and latent variable models. The book defines factor analysis in broader terms than is typical of the literature, essentially regarding it as the class of models which includes ordinary principal components, weighted principal components, maximum likelihood factor analysis, certain multidimensional scaling models, dual scaling, correspondent analysis, canonical correlation, and the latest class/latent profile analysis. Such usage underscores the common structural features of certain models and the essential similarities among them, which are not readily apparent when dealing solely with empirical applications. Statistical Factor Analysis and Related Methods assumes readers will have a fundamental background in calculus, linear algebra, and introductory statistics while providing basic coverage in these fields in the first two chapters for those who may lack such grounding. In addition, these chapters offer an accessible review of some of the more difficult material in multivariate sampling, measurement and information theory, latent roots and latent vectors in the real and complex normal distribution. A volume whose arrival is long overdue, Statistical Factor Analysis and Related Methods will serve the needs of statisticians and researchers in the empirical sciences who want to gain a deeper understanding of latent variable models as well as the needs of senior undergraduate and graduate students in statistics and related disciplines.

Edition details

• Publisher: Wiley-Interscience
• Publication date: 1994
• ISBN 10: 0471570826
• ISBN 13: 9780471570820
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 768